The braking distance, D, of a car is directly proportional to the square of its speed, v. When d=5, v=10Find d when v=70​

Answers

Answer 1
Answer:

d \propto  v^2

$\implies d=kv^2$

substitute the given values, $5=k(10)^2\implies k=\frac1{20}$

now, $d=\frac{1}{20}\times( 70)^2=\frac{70\times70}{20}=245$

A big blunder from my side, now fixed!


Related Questions

What is the product? 2x(x – 4) 2x2 – 4 2x2 – 8 2x2 – 4x 2x2 – 8x
For a circle of radius 4 with center (-4, 3). in general form
For the school yearbook, the entire freshmen class is taking a picture together. The photographer arranges the students so that there are 12 students in the first row, 15 students in the second row, and 18 students in the third row. The photographer continues this pattern for all eight rows of students in the picture.
If m(x)=2x and n(x)=x-4 find the general rule for m(n(x))
What is the product of -9 and -15? 135 -135 -24 24

Can someone please help me with this quick question

Answers

Y axis because the y value did not change

The height (in meters) of a projectile shot vertically upward from a point 2m above ground level with an initial velocity of 24.5m/s is h=2+24.5t-4.9t^2 after t seconds. When does the projectile hit the ground? With what velocity does it hit the ground?

Answers

For the moment one hits the ground, you set h=0 and solve for t.
To find out the speed, you must find out v=24.5-9.8t

Answer:

its not showing up for me

Step-by-step explanation:

Emma earns $6 each time she mows the lawn and $8 per hour for babysitting. She is saving up to buy a new pair of jeans that cost $48. If she mows the lawn x times and babysits for y hours, which graph shows the amount of work she needs to complete to earn at least enough to purchase the new jeans?

Answers

To graph this we find the x- and y-intercepts. The x-intercept would be at 8 and the y-intercept would be at 6.

Explanation:
The equation is 6x+8y=48. An x-intercept is the point where the data crosses the x-axis. All points on this line will have a y-coordinate of 0, so we replace y with 0 and solve:
6x+8(0)=48
6x=48.

Divide both sides by 6:
6x/6=48/6
x=8.
We go to 8 on the x-axis and plot the point.

A y-intercept is the point where the data crosses the y-axis. All points on this line will have an x-coordinate of 9, so we replace x with 0 and solve: 6(0)+8y=48
0+8y=48
8y=48.

Divide both sides by 8:
8y/8 = 48/8
y=6.

We go up to 6 on the y-axis and plot the point. We then draw a line through these two points.

Answer:

Refer the figure.

Step-by-step explanation:

Let x be the number of times Emma mows the lawn

and y be the number of hours Emma babysits

Emma earns $6 each time she mows the lawn and $8 per hour for babysitting i.e. 6x+8y

She is saving up to buy a new pair of jeans that cost $48.

i.e. 6x+8y\geq 48

The y-intercept of the line is the point when x=0,

6(0)+8y=48

y=(48)/(8)

y=6

y-intercept is at (0,6)

The x-intercept of the line is the point when y=0,

6x+8(0)=48

x=(48)/(6)

y=8

x-intercept is at (8,0).

The shaded area is determined by putting x and y zero.

6(0)+8(0)\geq 48

0\geq 48

False so the region is away from origin.

The solution is the shade area above the solid line.

Refer the attached figure.

The quotient of four and e

Answers

The expression of 4e, that has the coefficient is 4

What are the Quotients?

Quotients are the number that is obtained by dividing one number by another number.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.

Dividend ÷ Divisor = Quotients

A coefficient is a number placed B4 another quantity for this case; that is the unknown(e).

The expression for the given situation is;

4e

Therefore , the coefficient is 4

Learn more about the quotient;

brainly.com/question/26913992

#SPJ2

Answer:

4e

A coefficient is a number placed b4 another quantity for this case that is the unknown(e).

Therefore the coefficient is 4

Step-by-step explanation:

Hope that this is helpful.

Have a great day.

A machine in a soft drink bottling factory caps 3 bottles per second. How many bottles can it cap in 15 hours?

Answers

so 3 bottles per second so in 1 second it produces 3 times 1=3 bottles in 2 seconds it produces 2 times 3=6 bottles in x seconds, it produces 3x bottles so


15 hours
1 hour=60 minutes
1 minute=60 seconds
1 hour=60 (60 seconds)=60 times 60 seconds=3600 seconds
15 hours=15 times 3600=54000 seconds
so insert/subsitute
number of bottles=3x
in 15 hours=3 times 54000=162000

162,000 bottles in 15 hours

If x ≠ 0, then x²/2x⁵ × 1000 is equivalent to

Answers

Answer:

Not telling you the answer that just the steps, that would be cheating.

Step-by-step explanation:

1. Mulitply 1000 by the fraction.

2. Simplify it(the numbers 1000 and 2 to 500 and 1)

3. Then divide the exponents(you know this I taught you:)

4. You then will get your answer! (hint: it has a negative exponent :)

5. Please try not to use Brainly next time, try it yourself:) or I may take points off, ask me next time.

When x ≠ 0, the expression x²/2x⁵ × 1000 simplifies to 500/x³. This is obtained by simplifying the fraction and then multiplying by 1000.

To simplify the expression (x²/2x⁵) × 1000, we can start by simplifying the fraction within the parentheses.

First, let's deal with the fraction x²/2x⁵. We can simplify it by using the rule of exponents, which states that x^m/x^n = x^(m-n) when dividing with the same base. In this case, we have x²/2x⁵, so:

x²/2x⁵ = (x²)/(2x⁵) = (x²/x⁵) * (1/2) = x^(2-5) * (1/2) = x^(-3) * (1/2).

Now, we have the fraction x^(-3) * (1/2). To simplify this further, we can rewrite x^(-3) as 1/x^3. Therefore, the expression becomes:

(1/x^3) * (1/2) = 1/(2x³).

Now that we've simplified the fraction within the parentheses, we can multiply it by 1000:

(1/(2x³)) * 1000 = 1000/(2x³) = 500/x³.

So, the expression x²/2x⁵ × 1000 simplifies to 500/x³ when x ≠ 0.

Learn more about expression here:

brainly.com/question/30350742

#SPJ3